Question

Find the value of x. Log x8=0.5

Answer 1

Answer 64= x
Explanation: sorry

Answer 2

Answer: x = 64

Explanation:

First you need to know that if we have:
`log_b(y)=x` this is equal to
`y=b^x`

So,
`log_x8=0.5` can be rewritten as:
`8=(x)^0^.^5`

`0.5` can be rewritten as:
`(1)/(2)` and why did I do this? you may ask. This way I can rewrite the exponent as a square root, as following;

`8=(x)^(1)/(2)`

The property says that:
`\sqrt[n]{x^m}=x^(m)/(n)`

So, we can rewrite our operation as;

`8=\sqrt[]{x}`

Now let's raise both sides to the power of 2, to get rid of the square root.

`(8)^2=(\sqrt[]{x})^2`

`64=x`